Question

(7M)
2. a) Show that the following premises are inconsistent.
() If jack misses many classes through illness, then he fails high school
(ii) If jack fails high school, then he is uneducated.
(iii) If jack reads lot of books, then he is not uneducated.
(iv) Jack misses many classes through illness and lot of books.​

Answer 1

hope it is helpful for you

Answer 2

Answer:

If jack fails high school, then he is uneducated.

Step-by-step explanation:

From the above question,

They have given :

Show that the following premises are inconsistent.

If a set of premises is inconsistent, any argument having those premises is valid. (If the premises are inconsistent, there is no possible circumstance in which they are all true. So no matter what the conclusion is, there is no possible circumstance in which the premises are all true and the conclusion is false.

If all the premises can be assigned values that make them simultaneously true, the premises are consistent.

If there is no assignment of truth values to atomic propositions under which all the premises are true, then the premises are inconsistent.

Premises are inconsistent:

• Deduce the Conclusion for the Premises.
• Prove the premises using Rules of Inference.
• Find the argument form for the argument and determine whether it is valid.
• Use premises to determine which statements are valid conclusion.

If jack fails high school, then he is uneducated.

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